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116316288000 = 21032531167137
BaseRepresentation
bin110110001010011111…
…1011011010000000000
3102010020021121122121200
41230110333123100000
53401203432204000
6125233541421200
711255266064163
oct1542477332000
9363207548550
10116316288000
114536956a840
121a66210a800
13ac78c77423
1458b6005ada
15305b8aa500
hex1b14fdb400

116316288000 has 1056 divisors, whose sum is σ = 467471392128. Its totient is φ = 27574272000.

The previous prime is 116316287987. The next prime is 116316288037. The reversal of 116316288000 is 882613611.

116316288000 is a `hidden beast` number, since 11 + 631 + 6 + 2 + 8 + 8 + 0 + 0 + 0 = 666.

116316288000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849023932 + ... + 849024068.

Almost surely, 2116316288000 is an apocalyptic number.

116316288000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116316288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735696064).

116316288000 is an abundant number, since it is smaller than the sum of its proper divisors (351155104128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116316288000 is a wasteful number, since it uses less digits than its factorization.

116316288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 116316288000 in words is "one hundred sixteen billion, three hundred sixteen million, two hundred eighty-eight thousand".